VIGRE: Undergraduate, Graduate, and Postdoctoral Education in Mathematics at the Courant Institute

VIGRE：库朗研究所数学本科、研究生和博士后教育

• 批准号: 9983190
• 负责人: Helmut Hofer
• 金额: $ 474.34万
• 依托单位: New York University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2000
• 资助国家: 美国
• 起止时间: 2000-06-01 至 2007-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9983190&HistoricalAwards=false
• 关键词: VIGRE; Undergraduate; Graduate; Postdoctoral; Education

The Mathematics Department in the Courant Institute of New York Universitywill provide significant opportunities for research and graduate educationthrough its academic programs, under the support of the VIGRE program ofthe National Science Foundation. This support will be used to integratethe postdoctoral and Ph.D. programs at the Courant Institute, togetherwith research experiences for honors undergraduates in mathematics. Thisintegration will be founded upon focused research groups at the CourantInstitute, which exist in disciplinary mathematics -- such as differentialgeometry, symplectic geometry, geometric and topological analysis, theanalysis of partial differential equations, dynamical systems theory,probability theory and mathematical physics, computational science andnumerical analysis, and applied mathematics; as well as ininterdisciplinary science -- such as neural science, vision, biophysics,computational biology, plasma physics, multimedia technology, materialsscience, condensed matter physics, fluid mechanics, atmosphere/oceanscience, and financial mathematics. Each of these research groups usesadvanced graduate courses, seminars, working seminars, and workshops tofoster interactions and to exchange knowledge. Mathematicians fromneighboring academic institutions, industrial laboratories and from WallStreet, often interact with and contribute to these groups. Interactionsbetween members of the faculty, postdocs, Ph.D. students, and advancedundergraduates will be developed through active membership in theseresearch groups. Junior scientists will be trained and encouraged toadvance a view in which artificial boundaries between pure and appliedmathematics do not exist, and in which interdisciplinary research is thenorm.The Courant Institute's VIGRE Program will provide support for 9 postdoctoral scientists and 24 graduate students each year. Postdoctoral participants will gain breadth and depth through the Courant Institute's uniquely interdisciplinary environment. Each will be encouraged to develop his or her own scientific personality and vision over the course of a three-year appointment. In addition, each postdoc will gain classroom skill and experience by teaching one course per semester, with supervision by an expert in pedagogy as well as by a member of the faculty. Graduate students will be drawn quickly into the scientific life of the Institute through participation in various research groups. They will be encouraged to do internships in nonacademic environments such as industrial and government research labs, to gain added scope and perspective. They will learn communication skills through a variety of mechanisms, including supervised classroom experience. Undergraduate math majors will be encouraged to participate in an enriched honors program, featuring diverse research experience opportunities. The honors program will help drawtalented undergraduates into quantitative careers, by communicating themany opportunities and great excitement available in mathematics andinterdisciplinary science. Some specific developments associated with thisVIGRE project include: (i) the creation of undergraduate researchopportunities within research groups at the Courant Institute; (ii) theformalization of internship opportunities in industrial and governmentlaboratories and in nearby medical schools, for undergraduate and graduatestudents; (iii) systematic supervision of graduate student and postdocteaching, by professionals in pedagogy as well as by members of themathematics faculty; (iv) more active recruitment of US citizen andpermanent resident candidates for graduate and postdoctoral support, withspecial emphasis on women and other underrepresented groups.Funding for this award is provided by the Division of Mathematical Sciences and the MPS Directorate's Office of Multidisciplinary Activities.

纽约大学库兰特学院的数学系将在国家科学基金会的Vigre计划的支持下为通过其学术课程提供了重要的研究和研究生教育的机会。此支持将用于集成博士后博士学位。 Courant Institute的课程，共同研究了数学荣誉本科生的研究经验。 这种积分将建立在Courantinstitute的集中研究小组上，该小组存在于纪律数学中 - 例如差分测定，符号几何，几何和拓扑分析，部分差分方程，动态系统理论，概率理论和数学物理学，计算科学和数学分析和应用数学分析； 以及跨学科的科学 - 例如神经科学，视觉，生物物理学，计算生物学，等离子体物理学，多媒体技术，材料科学，凝结物理学，流体机械师，气氛/海洋学和金融数学。这些研究小组中的每一个都使用了研究生课程，研讨会，工作研讨会和讲习班互动并交换知识。 来自沃姆沃尔学术机构，工业实验室和华尔街的数学家经常与这些群体互动并贡献。 PostDocs，Ph.D。教职员工之间的互动。学生和高级学习者将通过在这些搜索小组中的积极会员资格开发。 初级科学家将受到训练和鼓励toadvance的观点，在这种观点中，不存在纯净和应用量的人工界限，然后进行跨学科研究。博士后参与者将通过Courant Institute独特的跨学科环境获得广度和深度。在为期三年的任命过程中，将鼓励每个人发展自己的科学性格和远见。此外，每个博士后每学期都会通过教学一门课程来获得课堂技能和经验，并由教育学专家以及教职员工的成员进行监督。通过参与各种研究小组，研究生将迅速吸引研究所的科学生活。他们将鼓励他们在工业和政府研究实验室等非学术环境中进行实习，以增强范围和观点。他们将通过各种机制学习沟通技巧，包括监督课堂经验。将鼓励本科数学专业的专业参加丰富的荣誉计划，其中包括多样化的研究经验机会。荣誉计划将通过传达数学和跨学科科学中的极大兴奋来帮助纳入定量职业的本科生。与此Vigre项目相关的一些具体发展包括：（i）Courant Institute在研究小组内创建本科研究的知识； （ii）在工业和政府实习生以及附近的医学院的实习机会，本科生和毕业生的形式； （iii）专业人士以及Themathematics教师的专业人士对研究生和博士学教学的系统监督； （iv）更积极地招募美国公民和普雷曼特居民候选人，以寻求研究生和博士后支持，并特别强调妇女和其他代表性不足的群体。为此奖项提供资金，由数学科学局和国会议员局长的多学科活动办公室提供。